Junctions of three quantum wires and the dissipative Hofstadter model
Strongly Correlated Electrons
2009-11-10 v1 Mesoscale and Nanoscale Physics
High Energy Physics - Theory
Abstract
We study a junction of three quantum wires enclosing a magnetic flux. This is the simplest problem of a quantum junction between Tomonaga-Luttinger liquids in which Fermi statistics enter in a non-trivial way. We present a direct connection between this problem and the dissipative Hofstadter problem, or quantum Brownian motion in two dimensions in a periodic potential and an external magnetic field, which in turn is connected to open string theory in a background electromagnetic field. We find non-trivial fixed points corresponding to a chiral conductance tensor leading to an asymmetric flow of the current.
Keywords
Cite
@article{arxiv.cond-mat/0305121,
title = {Junctions of three quantum wires and the dissipative Hofstadter model},
author = {Claudio Chamon and Masaki Oshikawa and Ian Affleck},
journal= {arXiv preprint arXiv:cond-mat/0305121},
year = {2009}
}
Comments
4 pages, 1 figure